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Simplifying 2(u + -9) + -6 = -4(-5u + 8) + -2u Reorder the terms: 2(-9 + u) + -6 = -4(-5u + 8) + -2u (-9 * 2 + u * 2) + -6 = -4(-5u + 8) + -2u (-18 + 2u) + -6 = -4(-5u + 8) + -2u Reorder the terms: -18 + -6 + 2u = -4(-5u + 8) + -2u Combine like terms: -18 + -6 = -24 -24 + 2u = -4(-5u + 8) + -2u Reorder the terms: -24 + 2u = -4(8 + -5u) + -2u -24 + 2u = (8 * -4 + -5u * -4) + -2u -24 + 2u = (-32 + 20u) + -2u Combine like terms: 20u + -2u = 18u -24 + 2u = -32 + 18u Solving -24 + 2u = -32 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -24 + 2u + -18u = -32 + 18u + -18u Combine like terms: 2u + -18u = -16u -24 + -16u = -32 + 18u + -18u Combine like terms: 18u + -18u = 0 -24 + -16u = -32 + 0 -24 + -16u = -32 Add '24' to each side of the equation. -24 + 24 + -16u = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -16u = -32 + 24 -16u = -32 + 24 Combine like terms: -32 + 24 = -8 -16u = -8 Divide each side by '-16'. u = 0.5 Simplifying u = 0.5
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